Abstract

We study a uniform flow in a parallel plate geometry to model contaminant
transport through a saturated porous medium in a semi-infinite domain in
order to simulate an experimental apparatus mainly constituted by a chamber filled
with a glass beads bed. The general solution of the advection dispersion equation
in a porous medium was obtained by utilizing the Jacobi 𝜃3 Function. The analytical
solution here presented has been provided when the inlet (Dirac) and the boundary
conditions (Dirichelet, Neumann, and mixed types) are fixed. The proposed solution
was used to study experimental data acquired by using a noninvasive technique.